# Question

Recall that a bank manager has developed a new system to reduce the time customers spend waiting for teller service during peak hours. The manager hopes the new system will reduce waiting times from the current 9 to 10 minutes to less than 6 minutes. Suppose the manager wishes to use the random sample of 100 waiting times to support the claim that the mean waiting time under the new system is shorter than six minutes.

a. Letting m represent the mean waiting time under the new system, set up the null and alternative hypotheses needed if we wish to attempt to provide evidence supporting the claim that m is shorter than six minutes.

b. The random sample of 100 waiting times yields a sample mean of 5.46 minutes. Assuming that the population standard deviation equals 2.47 minutes, use critical values to test H0 versus Ha at each of α = .10, .05, .01, and .001.

c. Using the information in part b, calculate the p-value and use it to test H0 versus Ha at each of α = .10, .05, .01, and .001.

d. How much evidence is there that the new system has reduced the mean waiting time to below six minutes?

a. Letting m represent the mean waiting time under the new system, set up the null and alternative hypotheses needed if we wish to attempt to provide evidence supporting the claim that m is shorter than six minutes.

b. The random sample of 100 waiting times yields a sample mean of 5.46 minutes. Assuming that the population standard deviation equals 2.47 minutes, use critical values to test H0 versus Ha at each of α = .10, .05, .01, and .001.

c. Using the information in part b, calculate the p-value and use it to test H0 versus Ha at each of α = .10, .05, .01, and .001.

d. How much evidence is there that the new system has reduced the mean waiting time to below six minutes?

## Answer to relevant Questions

Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste water that is allowed to flow into the Atlantic Ocean. The Environmental Protection Agency (EPA) ...When testing a hypothesis, why don’t we set the probability of a Type I error to be extremely small? Explain. Recall that it is hoped that the mean alert time, m, using the new display panel is less than eight seconds. (1) Formulate the null hypothesis H0 and the alternative hypothesis Ha that would be used to attempt to provide ...Suppose we test H0: p = .3 versus Ha: ≠ .3 and that a random sample of n = 100 gives a sample proportion p-bar = .20. a. Test H0 versus Ha at the .01 level of significance by using critical values. What do you conclude? ...In general, do we want the power corresponding to a serious Type II error to be near 0 or near 1? Explain.Post your question

0